Acta Geophysica
vol. 60, no. 3, Jun. 2012, pp. 858-873
DOI: 10.2478/s11600-012-0007-y
________________________________________________
© 2012 Institute of Geophysics, Polish Academy of Sciences
Testing a Scaling Law
for the Earthquake Recurrence Time Distributions
Elisaveta MAREKOVA
Plovdiv University “Paisiy Hilendarski”, Plovdiv, Bulgaria
e-mail: eligeo@uni-plovdiv.bg
Abstract
The earthquake recurrence time distribution in a given space-time
window is being studied, using earthquake catalogues from different
seismic regions (Southern California, Canada, and Central Asia). The
quality of the available catalogues, taking into account the completeness
of the magnitude, is examined. Based on the analysis of the catalogues, it
was determined that the probability densities of the earthquake recur-
rence times can be described by a universal gamma distribution, in which
the time is normalized with the mean rate of occurrence. The results
show a deviation from the gamma distribution at the short interevent
times, suggesting the existence of clustering. This holds from worldwide
to local scales and for quite different tectonic environments.
Key words: recurrence times, scaling law, universality, power law,
earthquake catalogues.
1. INTRODUCTION
Seismicity and earthquake triggering are highly complex phenomena in the
spatial, temporal, and energy domains. The dynamics of these phenomena is
not fully understood, because there is no complete knowledge of the physical
processes occurring in the Earth’s lithosphere.
The statistical properties of seismicity have been a subject of intensive
interest for many years; e.g., one can mention Omori law (for the after-
shocks, which defines the decrease in the number of earthquakes following
Author copy